The Bishop-Phelps-Bollobas property for operators between spaces of continuous functions Article Swipe
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Marı́a D. Acosta
,
Julio Becerra Guerrero
,
Yun Sung Choi
,
Maciej Ciesielski
,
Sun Kwang Kim
,
Han Ju Lee
,
Mary Lilian Lourenço
,
Miguel Martı́n
·
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.1016/j.na.2013.09.011
· OA: W2964313993
YOU?
·
· 2016
· Open Access
·
· DOI: https://doi.org/10.1016/j.na.2013.09.011
· OA: W2964313993
We show that the space of bounded linear operators between spaces of continuous functions on compact Hausdorff topological spaces has the Bishop-Phelps-Bollobas property. A similar result is also proved for the class of compact operators from the space of continuous functions vanishing at infinity on a locally compact and Hausdorff topological space into a uniformly convex space, and for the class of compact operators from a Banach space into a predual of an L-1-space. (C) 2013 Elsevier Ltd. All rights reserved.
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